Item Discrimination and Type I Error in the Detection of Differential Item Functioning

In 2009, DeMars stated that when impact exists there will be Type I error inflation, especially with larger sample sizes and larger discrimination parameters for items. One purpose of this study is to present the patterns of Type I error rates using Mantel–Haenszel (MH) and logistic regression (LR)...

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Veröffentlicht in:Educational and psychological measurement 2012-10, Vol.72 (5), p.847-861
Hauptverfasser: Li, Yanju, Brooks, Gordon P., Johanson, George A.
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creator Li, Yanju
Brooks, Gordon P.
Johanson, George A.
description In 2009, DeMars stated that when impact exists there will be Type I error inflation, especially with larger sample sizes and larger discrimination parameters for items. One purpose of this study is to present the patterns of Type I error rates using Mantel–Haenszel (MH) and logistic regression (LR) procedures when the mean ability between the focal and reference groups varies from zero to one standard deviation. The findings can be used as guides for alpha adjustment when using MH or LR methods when impact exists. A second purpose is to better understand the conditions that cause Type I error rates to inflate. The results indicate that inflation can be controlled even in the presence of large ability differences and with large samples.
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subjects Biological and medical sciences
Educational psychology
Error of Measurement
Fundamental and applied biological sciences. Psychology
Item Response Theory
Mantel Haenszel Procedure
Measurement errors
Psychology. Psychoanalysis. Psychiatry
Psychology. Psychophysiology
Psychometrics
Psychometrics. Statistics. Methodology
Regression (Statistics)
Sample size
Simulation
Standard deviation
Statistical analysis
Statistics. Mathematics
Test Bias
Test Items
title Item Discrimination and Type I Error in the Detection of Differential Item Functioning
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